This quantity includes 3 lengthy lecture sequence by means of J. L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their subject matters are respectively the relationship among algebraic K-theory and the torsion algebraic cycles on an algebraic style, a brand new method of Iwasawa concept for Hasse-Weil L-function, and the functions of arithemetic geometry to Diophantine approximation.